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Motivating Problem

Motivating Problem. McDonalds’s sells McNuggets in boxes of 6, 9, and 20. What is the greatest number of McNuggets that you cannot order exactly? . Day 1 Agenda. Find Seats Syllabus First Day Survey Quick Numbers Review McNuggets Problem.

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Motivating Problem

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  1. Motivating Problem • McDonalds’s sells McNuggets in boxes of 6, 9, and 20. What is the greatest number of McNuggets that you cannot order exactly?

  2. Day 1 Agenda • Find Seats • Syllabus • First Day Survey • Quick Numbers Review • McNuggets Problem

  3. Suggested: Humongous Book of Calculus Problems Kelly, W. (2006). Humongous book of calculus problems: Translated for people who don’t speak math. New York, NY: Alpha. (ISBN: 9781592575121)

  4. Numbers • Integers – The set of positive whole numbers, Negative Whole Numbers, and Zero • Rationals — The set of fractions with integer numerators and denominators (i.e. all terminating and repeating decimals) • Irrationals – The set of numbers which are not Rational • Reals– The set of all rational and irrational numbers

  5. Examples • Integers – 0, -1, 12, 25, -100 • Rationals – • Irrationals – • Reals –

  6. Fake (non-real) Numbers • Imaginary Numbers • Complex Numbers • Surreal Numbers • Affinely Extended Real Numbers

  7. Importance of Real numbers • Precalculus is a study of real numbers • (definition) The set of numbers in Dedekind-complete ordered fields [you don’t really need to know this]

  8. Motivating Problem • McDonalds’s sells McNuggets in boxes of 6, 9, and 20. What is the greatest number of McNuggets that you cannot order exactly?

  9. Reflection on McNuggets • How large a number did you think the answer would be when you first started the problem? • What barriers did you run into at the beginning? How did you overcome those? • What formula did you use to find the answer? Do all problems have a formula?

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